diff --git a/package.json b/package.json
index 8b757d4..1782fa0 100644
--- a/package.json
+++ b/package.json
@@ -1,6 +1,6 @@
 {
   "name": "handsontable-key-value",
-  "version": "3.0.2",
+  "version": "3.0.3",
   "description": "Handstontable plugin to handle key-value pair data type.",
   "repository": {
     "type": "git",
@@ -35,7 +35,7 @@
     "rimraf": "^2.6.3"
   },
   "peerDependencies": {
-    "handsontable": "^7.0.0"
+    "handsontable": ">=7.0.0"
   },
   "dependencies": {
     "lodash.deburr": "^4.1.0"
diff --git a/src/filters/keyValueMultipleSelectUI.js b/src/filters/keyValueMultipleSelectUI.js
index a029507..7ebefb9 100644
--- a/src/filters/keyValueMultipleSelectUI.js
+++ b/src/filters/keyValueMultipleSelectUI.js
@@ -9,8 +9,26 @@ class KeyValueMultipleSelect extends MultipleSelectUI {
       return;
     }
 
-    // Don't know why in the official version we compute again the checked values,
-    // as it's already done by ValueComponent. So, just load the items.
+    // If the filter has been set programmatically, we need to retrive which item(s) should be checked
+    const lastSelectedColumn = this.hot.getPlugin('filtersKeyValue').getSelectedColumn();
+    if (this.items.length) {
+      const { conditions } = this.hot.getPlugin('filtersKeyValue').conditionCollection;
+      if (conditions.conjunction) {
+        const toCheck = conditions.conjunction[lastSelectedColumn.visualIndex];
+        if (toCheck) {
+          toCheck.forEach((filter) => {
+            if (filter.name === 'by_value') {
+              this.items.forEach((item) => {
+                item.checked = filter.args.flat().includes(item.value);
+              });
+            }
+            /** @todo Handle other cases than 'by_value' ? */
+          });
+        }
+      }
+      /** @todo Is it needed for disjuntion case ? */
+    }
+    // else it's already done by ValueComponent. So, just load the items.
     this.itemsBox.loadData(this.items);
   }